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Finding the Third Proportional to 165,864 and 249,628

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Solution

The third proportional to 165,864 and 249,628 is: 375,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,864 : 249,628 = 249,628 : x
  2. Step 2: Convert to fraction form
    165,864/249,628 = 249,628/x
  3. Step 3: Cross multiply
    165,864x = 249,628 × 249,628
  4. Step 4: Simplify right side
    165,864x = 62,314,138,384
  5. Step 5: Solve for x
    x = 62,314,138,384/165,864
  6. Step 6: Final answer
    x = 375,694.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.